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Q: Fachverband Quantenoptik und Photonik
Q 63: Quanteninformation: Quantencomputer
Q 63.1: Talk
Friday, March 6, 2009, 14:00–14:15, VMP 6 HS-A
Optimal Control of Open Quantum Systems: Markovian and non-Markovian — •Thomas Schulte-Herbrüggen1, Andreas Spörl1, Patrick Rebentrost2,3, Frank Wilhelm3, and Steffen Glaser1 — 1Technical University Munich (TUM), 85747 Garching — 2Harvard University, Cambridge MA, USA — 3Institute for Quantum Computation (IQC), Waterloo, Canada
For realistic examples of Markovian and non-Markovian open quantum systems we show how optimal controls obtained numerically [1] typically cut errors by one order of magnitude [2,3,4]. The examples include spin- and pseudo-spin systems, e.g., capacitively coupled charge qubits. The setting can easily be generalised to arbitrary N-level systems. — We sketch the relation between time-optimal and relaxation-optimised controls in the light of new pictures emerging in terms of Lie semigroups [5]. — Implications for quantum CISC-compilation [6] in large systems (≥100 qubits) are given as well as an outlook on how to assemble CISC modules in a decoherence-protected way.
[1] Khaneja et al., J. Magn. Reson. 172, 296-305 (2005);
Schulte-Herbrüggen et al., PRA 72, 042331 (2005).
[2] Spörl et al., PRA 75, 012302 (2007)
[3] Schulte-Herbrüggen et al., quant-ph/0609037
[4] Rebentrost et al., quant-ph/0612165
[5] Dirr et al., arXiv:0811.4195
[6] Schulte-Herbrüggen et al., arXiv:0712.3227